Technical Field
[0001] The present invention relates generally to phase locked loops, and more particularly,
to a system for limiting intermediate frequency variation in multiple conversion phase
locked loops.
Background Art
[0002] Manufacturers of electronic equipment typically include phase locked loop synthesizers
as components of many electronic products and systems. For example, phase locked loop
synthesizers having voltage controlled oscillators arc widely used as digital tuners
for communication transmitters and receivers. They are also commonly used in controllers
for variable speed motors.
[0003] A phase locked loop (hereinafter, referred to as a PLL) is an automatic control circuit
for processing an output oscillation frequency which is completely synchronized with,
or the same frequency as, the frequency of an input signal or a reference oscillator
output signal. Generally, the PLL includes a phase comparator (or a phase detector),
a low pass filter, and a voltage controlled oscillator, combined to form a feedback
loop.
[0004] Typical PLL synthesizers are either single conversion PLLs or multiple conversion
PLLs. In the operation of a single conversion PLL, a voltage controlled oscillator
(VCO) at frequency fo is divided in frequency by N1, a fixed reference oscillator
at frequency frosc is divided in frequency by Nr, and the divided frequencies arc
mixed together to produce an error signal which is driven to zero frequency ("DC")
when the PLL is locked. Thus, when the loop is locked, frosc/Nr = fo/N1 and,

A loop filter amplifies and filters the error signal. The output of the loop filter
controls the frequency of the VCO through its voltage control input, closing and locking
the PLL.
[0005] The phase noise generated by a PLL synthesizer comes from 3 sources: the reference
oscillator, the VCO and the PLL electronics. The primary problem with single conversion
PLLs is that the phase noise spectrum at the VCO output due to the PLL electronics
So(f) is given by,

where minimum frequency step size fss of the synthesizer due to changes in the dividers
and K is a proportionality constant. Thus, the phase noise spectrum due to PLL electronics
noise gets larger as the step size gets smaller, limiting the ability of single conversion
PLLs to generate high frequencies with very small step sizes.
[0006] A multiple conversion PLL operates in the much the same manner. As before, a fixed
reference oscillator at frequency frosc is divided in frequency by Nr. The Nr divider
generates an output frequency fr. Thus, the reference oscillator frequency if given
by,

[0007] Also as before, divider N1 divides frequency fo and mixes this in a first mixer with
frequency fr. In this case however, the output of this mixer is not zero frequency,
but an intermediate frequency (IF) f1. A divider N2 outputs fo/N2, and this is mixed
in a second mixer with f1 to produce a second IF f2. This process is repeated as many
times as necessary using dividers N3 to Nn until the final mixer output is used to
lock the PLL. The output frequency of this multiple conversion PLL is given by,

where the ±s are determined by the mixer sideband utilized for each mixer. A polarity
switch is necessary because the sideband choices also determine the sense of the phase
error in the final mixer output. Therefore, the minimum step fsm size of a multiple
conversion PLL, assuming fr>>f1>>f2>>... fn-1, is given by,

[0008] Thus, N1 can be chosen independently of the minimum step size because of the extra
parameter Nn. This means the phase noise spectrum multiplication factor, which is
still given by N12 (relative to the output at fr), is decoupled from the step size
in multiple conversion PLLs. This decoupling is the main advantage of multiple conversion
PLLs, i.e., fr can be chosen to minimize the phase noise, while the extra conversions
supply as much resolution as needed.
[0009] There is a problem, however, in utilizing multiple conversion PLLs when fo is to
operate over a large range. The problem is that the IFs can vary widely as fo is changed
without proper IF management. If the IFs vary widely, spurs from unwanted mixing products
cannot be properly filtered to keep them out of the VCO output and step size can vary
widely over the output range. For proper PLL operation, the IFs need to be as low
as possible and simultaneously much greater than the loop bandwidth (BL) of the PLL
for all operating frequencies fo.
[0010] In order to get around the frequency range limitations of conventional multiple conversion
PLLs, makers of electronic equipment utilize custom frequency crystal oscillators
and multiplier chains to generate the desired frequencies. Unfortunately, custom frequency
crystals for these oscillators require approximately six months to procure. Manufactures
are forced to stock large quantities of these crystals in advance at additional expense
for commercial applications to enable oscillator fabrication in a short period of
time,
[0011] Therefore, there is a need to eliminate the extra complexity and expense of using
custom frequency crystal oscillators by improving the performance of multiple conversion
PLLs. There is also a need to improve the frequency output range of multiple conversion
PLLs, while reducing output noise by limiting IF variation.
Summary Of The Invention
[0012] It is, therefore, an object of the invention to provide an improved and reliable
multiple conversion PLL. Another object of the invention is to limit IF variation
in multiple conversion PLLs.
[0013] In one aspect of the invention, an apparatus for limiting intermediate frequency
variation in a multiple conversion phase locked loop includes a reference oscillator
and a voltage controlled oscillator (VCO). The reference oscillator generates a first
reference frequency, while the VCO generates an output frequency. The output frequency
is divided by a first VCO divider and mixed with the first reference frequency to
generate a first intermediate frequency. A second VCO divider also divides the output
frequency and mixes it with the first intermediate frequency to generate a second
intermediate frequency, which is filtered and used to control the VCO. An algorithm
processor generates the division constants of the first and second VCO dividers as
a function of the reference frequency and the output frequency to limit intermediate
frequency variation.
[0014] The present invention thus achieves an improved multiple conversion PLL. The present
invention is advantageous in that it extends the useful frequency range of a convention
PLL by limiting IF variation.
[0015] Additional advantages and features of the present invention will become apparent
from the description that follows, and may be realized by means of the instrumentalities
and combinations particularly pointed out in the appended claims, taken in conjunction
with the accompanying drawings.
Brief Description of the Drawings
[0016] In order that the invention may be well understood, there will now be described some
embodiments thereof, given by way of example, reference being made to the accompanying
drawings, in which:
FIGURE 1 is a perspective view of a satellite phase locked loop system according to
one embodiment of the present invention; and
FIGURE 2 is a block diagram of a system for limiting IF variation in phase locked
loops according to one embodiment of the present invention.
Best Modes For Carrying Out The Invention
[0017] Referring to FIGURE 1, a perspective view of a satellite phase locked loop system
10 according to one embodiment of the present invention is illustrated. The satellite
phase locked loop system 10 is comprised of one or more satellites 12 in communication
with a ground station 14 located on the Earth 16. Each satellite 12 contains one or
mole systems for limiting IF variation in phase locked loops 18.
[0018] Referring to FIGURE 2, a block diagram of a system for limiting IF variation in phase
locked loops 18 according to one embodiment of the present invention is illustrated.
Solid lines show signal flow and dotted lines show data value flow. An apparatus for
managing a first intermediate frequency fl in a two conversion PLL will be addressed
in detail. One skilled in the art, however, would recognize that the principles set
forth for the two-conversion concept arc easily generalized to multiple IFs in multiple
conversion PLLs.
[0019] A two conversion PLL 18 includes a reference oscillator 20 that generates a first
reference signal having a first reference frequency frosc. A reference divider 22
divides first reference frequency frosc by a value Nr to generate a second reference
signal having a second reference frequency fr. While the preferred embodiment includes
reference divider 22, one skilled in the art recognizes that, in fact, reference divider
22 need not be present in some applications, i.e., when Nr is chosen to equal one.
[0020] A voltage controlled oscillator (VCO) 24 generates an output signal having an output
frequency fo. The output frequency fo of VCO 24 is controlled by a VCO input. A first
VCO divider 26 divides output frequency fo by a value N1 to generate a first VCO signal
having a first VCO frequency, which is then mixed by mixer 28 to generate a first
intermediate signal having a first intermediate frequency f1. The output of mixer
28, first intermediate frequency f1, is then bandpass filtered by a bandpass filler
30 and amplified by an amplifier 32. The principle purpose of bandpass filter 32 is
to eliminate spurious products in the IF that are at multiples of fr. Since f1<<fr
for all fo, a simple bandpass filter is all that is required.
[0021] A second VCO divider 34 divides output frequency fo by a value N2 to generate a second
VCO signal having a second VCO frequency, which is then mixed by a second mixer 36
to generate a second intermediate signal having a second intermediate frequency f2.
In the present example, second mixer 36 is a phase frequency detector, although similar
mixers, such as a phase frequency comparator, may be used.
[0022] The feedback loop for control of VCO 24 includes a polarity switch 38, a spur rejection
filter 40, and a loop filter 42. Polarity switch 38 switches the polarity, or polarizes,
second intermediate frequency f2 in response to polarity switch value s to generate
a polarized second intermediate signal. Spur rejection filter 40 eliminates spurs
from phase frequency detector 36, which occur at multiples of f1, before the signal
is again filtered (and possibly amplified) in a convention loop filter to produce
the desired phase lock loop bandwidth (BL) characteristics. The loop filter can be
passive or active and is typically a 2nd order loop filter. The output of the loop
filter, a VCO control signal, drives the VCO input to close and lock the PLL.
[0023] An algorithm processor 44 is used to generate the parameters Nr, N1, N2, and s from
fo and fr. To aid in describing how algorithm processor 44 is implemented, the output
frequency fo of VCO 24 is written as,

where,

and,

where floor(z) is defined as the largest integer which is less than or equal to the
real number z. When fo varies from some minimum value to a maximum value, M varies
from some minimum value Mmin to a maximum value Mmax with unit step size. Also, in
general, x varies over the approximate range 0 ≤ x ≤ 1 with very fine step size between
M increments.
[0024] Letting,

where U is an integer to be determined later, mixer 28 outputs an IF equal to the
absolute value of,

where,

and,

where

assuming in equation (12) that fo>>fr, which is the usual region of application for
PLLs.
[0025] The selection of U is important for the proper operation of PLL 18. Without U, i.e.,
U=0, f1 goes to zero as x goes to zero. Since x varies rapidly from approximately
0 to 1, there will be many fo values for which f1 < BL, causing spur problems in PLL
18.
[0026] In a two-conversion PLL 18, the output of second mixer 36 is used to lock VCO 24,
and so is at zero frequency. Thus the absolute value of the IF is equal to the output
of second VCO divider 34 or fo/N2, so,

where s=0 if f1 is positive, and s=1 if f1 is negative. Polarity switch value s is
important not only to determine the sign in front of the N2 term, but to determine
the sense of polarity switch 38. N2 is generated from x, M, and U by,

Using equation (15) the realizable values of x are not continuous but are limited
in value by the requirement that N2 must be an integer. The floor function in equation
(15) allows x to be chosen independently of any restrictions and to obtain the nearest
realizable frequency value,
[0027] In terms of the variables x, K, and U, the step size is,

where

And the fractional step size can be written as,

where,

To prevent the IF from going to zero, Fs(0,1,U) ≥ 1 and Y(0,1,U) ≥ 1.
[0028] Using the above formulas, algorithm processor 44 limits IFs by using output frequency
fo of VCO 24 and second reference frequency fr to calculate M and x using equations
(7) and (8). Algorithm processor 44 then determines Mmin using equation (7) with a
minimum value of fo. Using this value algorithm processor 44 then calculates k using
equation (13) to find the value of U which maximizes the absolute value of F(x,k,U)
while keeping Y(x,k,U) ≤ 1 (or Fs(x,k,U) ≤ 1) and returns a value for U and F. (Note:
it is only necessary to search U values from -1 to floor(k). Algorithm processor 44
then determines s from the sign of F and calculates N1 and N2 from equations (11)
and (15).
[0029] Alternatively, the above process can be simplified and yield almost the same results
as the exact algorithm. Algorithm processor 44 limits IFs by using output frequency
fo of VCO 24 and second reference frequency fr to calculate M and x using equations
(7) and (8). Algorithm processor 44 then determines Mmin using equation (7) with a
minimum value of fo. Using this value algorithm processor 44 then calculates k using
equation (13). If k < kd then U = 1 if x < 0,5 or U = 0 if x ≥ 0,5. If k ≥ kd the
U = floor(k-kofs). (Note: for Y-optimization use kd = 1.58 and kofs = 0.1, for Fs-optimization
use kd = 2 and kofs =1.) Algorithm processor 44 then determines s from the sign of
F and calculates N1 and N2 from equations (11) and (15).
[0030] From the foregoing, it can be seen that there has been brought to the art a new and
improved system for limiting IF variation in phase locked loops. It is to be understood
that the preceding description of the preferred embodiment is merely illustrative
of some of the many specific embodiments that represent applications of the principles
of the present invention. Clearly, numerous and other arrangements would be evident
to those skilled in the ail without departing from the scope of the invention as defined
by the following claims.
1. An apparatus for limiting intermediate frequency variation in a multiple conversion
phase locked loop (18), characterized by:
a reference oscillator (20) generating a first reference signal, said first reference
signal having a first reference frequency (frosc; fr);
a voltage controlled oscillator (VCO) (24) generating an output signal, said output
signal having an output frequency (fo) controlled by a VCO input;
a first VCO divider (26) coupled to said VCO (24) and receiving said output signal,
said first VCO divider (26) dividing said output frequency (fo) by a first VCO divider value (N1) to generate a first VCO signal having a first VCO frequency, said first VCO signal
coupled to said first reference signal to generate a first intermediate signal having
a first intermediate frequency (f1);
a second VCO divider (34) coupled to said VCO (24) and receiving said output signal,
said second VCO divider (34) dividing said output frequency (fo) by a second VCO divider value (N2) to generate a second VCO signal having a second VCO frequency, said second VCO signal
coupled to said first intermediate signal to generate a second intermediate signal
having a second intermediate frequency (f2);
a loop filter (42) coupled to said second VCO divider (34) and receiving said second
intermediate signal, said loop filter (42) filtering said second intermediate signal
to generate a VCO control signal, said VCO control signal coupled to said VCO input;
and
an algorithm processor (44) coupled to said reference oscillator (20), said first
VCO divider (26), said second VCO divider (34), and said VCO (24), said algorithm
processor (44) generating said first VCO divider value (N1), and said second VCO divider value (N2).
2. The apparatus of claim 1, characterized by a third VCO divider coupled between said
first VCO divider (26) and said second VCO divider (34), said third VCO divider coupled
to said VCO (24) and receiving said output signal, said third VCO divider dividing
said output frequency (fo) by a third VCO divider value to generate a third VCO signal having a third VCO frequency,
said third VCO signal coupled to said first intermediate signal to generate a third
intermediate signal having a third intermediate frequency.
3. The apparatus of claim 2, characterized in that said algorithm processor (44) is coupled
to said third VCO divider and generates said third VCO divider value.
4. The apparatus of any of claims 1-3, characterized by a polarity switch (38) coupled
after said second VCO divider (34) and receiving said second VCO signal, said polarity
switch (38) switching said second VCO signal, in response to a polarity switch value
(s), to generate a polarized second intermediate signal.
5. The apparatus of claim 4, characterized in that said algorithm processor (44) is coupled
to said polarity switch (38) and generates said polarity switch value (s).
6. The apparatus of any of claims 1-5, characterized by a spur rejection filter (40)
coupled before said loop filter (42) and receiving said second intermediate signal,
said spur rejection filter (40) eliminating spurs at multiples of said first intermediate
frequency (f1).
7. The apparatus of any of claims 1-6, characterized in that said second VCO signal and
said first intermediate signal are coupled to and mixed by a phase frequency detector
(36) to generate said second intermediate signal having said second intermediate frequency
(f2).
8. The apparatus of any of claims 1-7, characterized by a band pass filter (30) coupled
to said first intermediate signal to eliminate spurs at multiples of said first reference
frequency (frosc; fr).
9. The apparatus of any of claims 1-8, characterized by a reference oscillator divider
(22) coupled to said reference oscillator (20) and receiving said first reference
signal, said reference oscillator divider (22) dividing said first reference frequency
(frosc) by a reference oscillator divider value (Nr) to generate a second reference signal having a second reference frequency (fr).
10. The apparatus of claim 9, characterized in that said algorithm processor (44) is coupled
to said reference oscillator divider (22) and generates said reference oscillator
divider value (Nr).